Answer:
78% (to the nearest tenth)
Step-by-step explanation:
Volume of a cube = (length )³
Let the length of the cube = y
Original volume = y³
if the length is decreased by 40%, then new length = 1- (40% of y)
= 1-0.4y
= 0.6%
New volume (after decreasing the length) = (0.6y)³
= 0.216y³
% Volume decrease = (Original volume - New volume)/Original Volume x 100%
= (y³ - 0.216y³)/ y³ x 100%
= 0.784y³/y³ x 100%
=78.4%
≈78%
Answer:
Slope=-1/2
Step-by-step explanation:
Slope =(y2-y1) /(x2-x1)
A(-7,-4).... x1 =-7,y1 =-4
B(-11,-2)... x2=-11,y1=-2
Slope=(-2-(-4))/(-11-(-7))
Slope=(-2+4)/(-11+7)
Slope=2/(-4)
Slope=-1/2
Answer:
Step-by-step explanation:
The first step is to find the GCF. Here, it's 3.
Then, you factor the polynomial in the parenthesis.
To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.
This of this polynomial as 2 problems.
Then, factor again.
Then, you keep the factors in parenthesis, and combine the numbers on the outside.
Since, there are 2 of the same factor, you only need one.
BUT REMEMBER!! In the very beginning, we had a 3 that we took out, we STILL need to add that to the final answer. The <u>final answer</u> is:
Answer: 225
Step-by-step explanation:
Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height
Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3
Slot the values into the formula:
Volume = 1/3 × 17.3 x 39
= 1/3 × 674.7 = 674.7/3
Volume = 224.9 approximately 225.
I hope this helps.
To evaluate the given expression, we must follow the rules of PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) in solving.
Therefore, first calculate what's inside the parentheses:
(1619.2) / (8194.23)
Then perform the operation in between the parentheses:
<span>(1619.2) / (8194.23) = 0.20
</span>
Therefore the answer after evaluating the expression is 0.20.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
